131033223321012 has 144 divisors (see below), whose sum is σ = 351039270778560. Its totient is φ = 41096524137984.

The previous prime is 131033223320983. The next prime is 131033223321037. The reversal of 131033223321012 is 210123322330131.

131033223321012 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 322 + 3 + 321 + 0 + 12 = 666.

It is a super-2 number, since 2×131033223321012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112189423 + ... + 113351369.

It is an arithmetic number, because the mean of its divisors is an integer number (2437772713740).

Almost surely, 2^{131033223321012} is an apocalyptic number.

131033223321012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131033223321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175519635389280).

131033223321012 is an abundant number, since it is smaller than the sum of its proper divisors (220006047457548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131033223321012 is a wasteful number, since it uses less digits than its factorization.

131033223321012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163102 (or 1163097 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131033223321012 its reverse (210123322330131), we get a palindrome (341156545651143).

The spelling of 131033223321012 in words is "one hundred thirty-one trillion, thirty-three billion, two hundred twenty-three million, three hundred twenty-one thousand, twelve".